# How do I find the slope of a curve at a point?

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To find the slope of a curve at a point, you can use calculus. Specifically, you would find the derivative of the function representing the curve with respect to the independent variable. Then, you evaluate this derivative at the given point to find the slope of the curve at that point. The slope of the curve at a point represents the rate of change of the function at that specific point.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is #pi/4# rad?
- What is the equation of the tangent line of #f(x)=e^(-x^2+x+pi)-sinx/e^x# at #x=pi/4#?
- What is the slope of the line normal to the tangent line of #f(x) = sec^2x-sin^2x # at # x= (pi)/12 #?
- What is the derivative: #g(y) = sqrt[2y + (3y + 4y^2)^3]#?
- What is the equation of the tangent line of #f(x) =tan^2x*sec2x-e^xcosx# at #x=pi/4#?

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